Borel transforms of functions from a parameterized family of Hilbert spaces of entire functions
We introduce a continuous scale of Hilbert spaces of entire functions $P_β(D)$ for a bounded convex domain $D$ on the complex plane. For the parameters $β\in (\frac 12;\frac 32)$ a complete description of the spaces of Borel transforms of functions from $P_β(D)$ is given.
math.CV↗